An online petition calling for the Presidential candidate to be excluded from the UK due to his comments on Muslims has gathered more than 570,000 signatures.
MPs will now debate the petition later this month.
In a statement, the Trump Organization said it had planned to inject over £200m into the Turnberry golf resort in South Ayrshire and an additional £500m at the Trump International Golf Links outside Aberdeen.
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However, it said any action to restrict travel would force it to "immediately end these and all future investments we are currently contemplating in the United Kingdom".
"Westminster would create a dangerous precedent and send a terrible message to the world that the United Kingdom opposes free speech and has no interest in attracting inward investment," it said.
"This would also alienate the many millions of United States citizens who wholeheartedly support Mr Trump and have made him the forerunner by far in the 2016 presidential election."
(LM)
